Three vessels whose capacities are in the ratio of 3 : 2 : 1 are completely filled with milk mixed with water. The ratio of milk and water in the mixture of vessels are 5 : 2, 4 : 1 and 4 : 1 respectively. Taking 1/3 of first, 1/2 of second and 1/7 of third mixture, a new mixture kept in a new vessel is prepared. The percentage of water in the new mixture is -

Question

নিচের অপশন গুলা দেখুন

• 32%
• 30%
• 28%
• 24%

Answer 1

সঠিক উত্তর হচ্ছে: 24%

ব্যাখ্যা:

Capacities of vessels
               3: 2: 1
              M:W         TMixture

      V - 1→(5:2=7)×5

      V - 2→(4:1=5)×7

      V - 3→(4:1=5)×7

Equate the mixture
              M:W  TMixture

(V - 1)→25:10=35

(V - 2)→28:7=35

(V - 3)→28:7=35

Capacities

                 M:W=Total Mix.

(V−1)×3→75:30=105

(V−2)×2→56:14=70

(V−1)×1→28:7=35

Water taken out
⇒1/3 of water in (V - 1) +1/2 of water in (V - 2) +1/7 of water in (V - 3)

⇒(1/3)×30+(1/2)×14+(1/7)×7

⇒10+7+1

⇒18
Similarly mixture will be
⇒(1/3)×105+(1/2)×70+(1/7) × 35
⇒ 75
∴ % of water = (18/75) ×100 =24%